Calling strategies

strategies = Rtrack::call_strategy(experiment$metrics)

Thresholding strategies

limits called strategies to those, where confidence is greater than 40%

dim(Rtrack::threshold_strategies(strategies, 0.4)$calls)

[1] 4203   12

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Plotting strategies of all age groups combined

par(mfrow = c(2, 2))
Rtrack::plot_strategies(strategies, experiment = experiment, factor = "Strain",
    exclude.probe = TRUE)

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Plotting thresholded strategies of all age groups combined

par(mfrow = c(2, 2))
Rtrack::plot_strategies(Rtrack::threshold_strategies(strategies, 0.4), experiment = experiment,
                        factor = "Strain", exclude.probe = TRUE)

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Saving the results

Here we export the results of the analyzed Track Files into a data.frame, to analyse them further.

results = Rtrack::export_results(experiment)
datatable(results, rownames = FALSE, filter="top", options = list(pageLength = 5, scrollX=T) )

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Plotting with ggplot2

library(ggplot2)
library(readxl)
Results=read_excel("Results3.xlsx", col_types=c("text","text","text","text","text","text","logical","numeric","text","text","text","numeric","text","numeric","text","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric","numeric"))
ggplot(Results, aes(x=`_Day`,y=path.length,color=factor(Strain)))+geom_jitter()

Results

# A tibble: 5,960 x 60
   Track_ID `_TargetID` `_Day` `_Trial` `_Arena`    Condition Probe Trial Strain
   <chr>    <chr>       <chr>  <chr>    <chr>       <chr>     <lgl> <dbl> <chr> 
 1 Track_4  60-911      1      1        Arena_SW.t~ WT_STD    FALSE     4 WT    
 2 Track_8  60-293      1      1        Arena_SW.t~ WT_STD    FALSE     8 WT    
 3 Track_9  60-296      1      1        Arena_SW.t~ WT_STD    FALSE     9 WT    
 4 Track_10 60-333      1      1        Arena_SW.t~ dTg_STD   FALSE    10 dTg   
 5 Track_14 60-911      1      2        Arena_SW.t~ WT_STD    FALSE    14 WT    
 6 Track_18 60-293      1      2        Arena_SW.t~ WT_STD    FALSE    18 WT    
 7 Track_19 60-296      1      2        Arena_SW.t~ WT_STD    FALSE    19 WT    
 8 Track_20 60-333      1      2        Arena_SW.t~ dTg_STD   FALSE    20 dTg   
 9 Track_24 60-911      1      3        Arena_SW.t~ WT_STD    FALSE    24 WT    
10 Track_28 60-293      1      3        Arena_SW.t~ WT_STD    FALSE    28 WT    
# ... with 5,950 more rows, and 51 more variables: Housing <chr>,
#   Age_group <chr>, Age_months <dbl>, All <chr>, strategy <dbl>, name <chr>,
#   confidence <dbl>, 1 <dbl>, 2 <dbl>, 3 <dbl>, 4 <dbl>, 5 <dbl>, 6 <dbl>,
#   7 <dbl>, 8 <dbl>, 9 <dbl>, path.length <dbl>, mean.velocity <dbl>,
#   sd.velocity <dbl>, total.time <dbl>, latency.to.goal <dbl>,
#   goal.crossings <dbl>, old.goal.crossings <dbl>, coverage <dbl>,
#   mean.d.centroid <dbl>, mean.d.goal <dbl>, mean.d.old.goal <dbl>,
#   mean.d.origin <dbl>, sd.d.centroid <dbl>, sd.d.goal <dbl>,
#   sd.d.old.goal <dbl>, sd.d.origin <dbl>, centroid.goal.displacement <dbl>,
#   centroid.old.goal.displacement <dbl>, mean.initial.heading.error <dbl>,
#   initial.trajectory.error <dbl>, initial.reversal.error <dbl>,
#   turning <dbl>, turning.absolute <dbl>, efficiency <dbl>,
#   roaming.entropy <dbl>, time.in.zone.pool <dbl>, time.in.zone.wall <dbl>,
#   time.in.zone.far.wall <dbl>, time.in.zone.annulus <dbl>,
#   time.in.zone.goal <dbl>, time.in.zone.old.goal <dbl>,
#   time.in.zone.n.quadrant <dbl>, time.in.zone.e.quadrant <dbl>,
#   time.in.zone.s.quadrant <dbl>, time.in.zone.w.quadrant <dbl>

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CAREFUL!!! The graphs below still include the probe trials (day 7 trial 1). To remove them add: Probe==‘FALSE’ to filter

Path Length Graphs

WT_STD=filter(Results, Strain=='WT'&Housing=='STD')
dTg_STD=filter(Results, Strain=='dTg'&Housing=='STD')
APP_STD=filter(Results, Strain=='APPswe'&Housing=='STD')
PS_STD=filter(Results, Strain=='PS1dE9'&Housing=='STD')
WT_ENR=filter(Results, Strain=='WT'&Housing=='ENR')
dTg_ENR=filter(Results, Strain=='dTg'&Housing=='ENR')
APP_ENR=filter(Results, Strain=='APPswe'&Housing=='ENR')
PS_ENR=filter(Results, Strain=='PS1dE9'&Housing=='ENR')
par(mfrow = c(2, 4))

WT_STD %>%
  mutate(WT_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
  ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
    labs(x="Day",
       y="Average Path length",
       title="Mean Path length WT STD")+scale_fill_jco()

dTg_STD  %>%
mutate(dTg_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length dTg STD")+scale_fill_jco()

APP_STD  %>%
mutate(APP_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length APPswe1 STD")+scale_fill_jco()

PS_STD  %>%
mutate(PS_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length PS1dE9 STD")+scale_fill_jco()

WT_ENR  %>%
mutate(WT_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length WT ENR")+scale_fill_jco()

dTg_ENR  %>%
mutate(dTg_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length dTg ENR")+scale_fill_jco()

APP_ENR  %>%
mutate(APP_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length APPswe1 ENR")+scale_fill_jco()

PS_ENR  %>%
mutate(PS_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length PS1dE9 ENR")+scale_fill_jco()+
  facet_wrap(~Age_group)

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Latency Graphs

WT_STD %>%
  mutate(WT_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
  ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
    labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s WT STD")+scale_fill_jco()

dTg_STD  %>%
mutate(dTg_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s dTg STD")+scale_fill_jco()

APP_STD  %>%
mutate(APP_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s APPswe1 STD")+scale_fill_jco()

PS_STD  %>%
mutate(PS_STD, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s PS1dE9 STD")+scale_fill_jco()

WT_ENR  %>%
mutate(WT_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s WT ENR")+scale_fill_jco()

dTg_ENR  %>%
mutate(dTg_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s dTg ENR")+scale_fill_jco()

APP_ENR  %>%
mutate(APP_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s APPswe1 ENR")+scale_fill_jco()

PS_ENR  %>%
mutate(PS_ENR, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=latency.to.goal, fill=Age_group))+geom_boxplot()+
  labs(x="Day",
       y="Average Latency in s",
       title="Mean Latency in s PS1dE9 ENR")+scale_fill_jco()+
  facet_wrap(~Age_group)

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Heatmap_probe

par(mfrow = c(2, 2))
Rtrack::plot_density(wtp.metrics, title = "WT Probe Heatmap 3-25mo",
                     col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(dTgp.metrics, title = "dTg Probe Heatmap 3-25mo",
                     col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(APPp.metrics, title = "APPswe Probe Heatmap 3-25mo",
                     col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(PS1p.metrics, title = "PS1dE9 Probe Heatmap 3-25mo",
                     col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

par(mfrow = c(2, 4))
Rtrack::plot_density(wtpstd.metrics, title = "WT Probe Heatmap STD 3-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(dTgpstd.metrics, title = "dTg Probe Heatmap STD 3-25mo",    col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(APPpstd.metrics, title = "APPswe Probe Heatmap STD 3-25mo", col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(PS1pstd.metrics, title = "PS1dE9 Probe Heatmap STD 3-25mo", col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(wtpenr.metrics, title = "WT Probe Heatmap ENR 3-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(dTgpenr.metrics, title = "dTg Probe Heatmap ENR 3-25mo",    col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(APPpenr.metrics, title = "APPswe Probe Heatmap ENR 3-25mo", col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(PS1penr.metrics, title = "PS1dE9 Probe Heatmap ENR 3-25mo", col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

WT -> dTg -> APPswe -> PS1dE9

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par(mfrow = c(1, 3))
###########WT_Probe##########
Rtrack::plot_density(wtpstd3.metrics, title = "WT Probe Heatmap STD 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(wtpstd14.metrics, title = "WT Probe Heatmap STD 13-14mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(wtpstd25.metrics, title = "WT Probe Heatmap STD 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

Rtrack::plot_density(wtpenr3.metrics, title = "WT Probe Heatmap ENR 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(wtpenr14.metrics, title = "WT Probe Heatmap ENR 13-14mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(wtpenr25.metrics, title = "WT Probe Heatmap ENR 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

###########dTg_Probe##########
Rtrack::plot_density(dTgpstd3.metrics, title = "dTg Probe Heatmap STD 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(dTgpstd14.metrics, title = "dTg Probe Heatmap STD 13-14mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(dTgpstd25.metrics, title = "dTg Probe Heatmap STD 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

Rtrack::plot_density(dTgpenr3.metrics, title = "dTg Probe Heatmap ENR 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(dTgpenr14.metrics, title = "dTg Probe Heatmap ENR 13-14mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(dTgpenr25.metrics, title = "dTg Probe Heatmap ENR 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

###########APP_Probe##########
Rtrack::plot_density(APPpstd3.metrics, title = "APPswe Probe Heatmap STD 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
#Rtrack::plot_density(APPpstd14.metrics, title = "APPswe Probe Heatmap STD 13-14mo",
#  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(APPpstd25.metrics, title = "APPswe Probe Heatmap STD 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(APPpenr3.metrics, title = "APPswe Probe Heatmap ENR 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

#Rtrack::plot_density(APPpenr14.metrics, title = "APPswe Probe Heatmap ENR 13-14mo",
#  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(APPpenr25.metrics, title = "APPswe Probe Heatmap ENR 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
###########PS1_Probe##########
Rtrack::plot_density(PS1pstd3.metrics, title = "PS1dE9 Probe Heatmap STD 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
#Rtrack::plot_density(PS1pstd14.metrics, title = "PS1dE9 Probe Heatmap STD 13-14mo",
#  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(PS1pstd25.metrics, title = "PS1dE9 Probe Heatmap STD 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

Rtrack::plot_density(PS1penr3.metrics, title = "PS1dE9 Probe Heatmap ENR 3mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
#Rtrack::plot_density(PS1penr14.metrics, title = "PS1dE9 Probe Heatmap ENR 13-14mo",
#  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))
Rtrack::plot_density(PS1penr25.metrics, title = "PS1dE9 Probe Heatmap ENR 17-25mo",
  col = colorRampPalette(c("#000C9E", "#00FEF6", "#FE009E"))(100))

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Path Length Graphs

mo3=filter(Results, Age_group=='3')
mo14=filter(Results, Age_group=='13-14')
mo25=filter(Results, Age_group=='17-25')

mo3 %>%
  mutate(mo3, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
  ggplot(aes(x=`_Day`,y=path.length, fill=Condition))+geom_boxplot()+
    labs(x="Day",
       y="Average Path length",
       title="Mean Path length 3mo mice")+scale_fill_manual(values = c("dTg_ENR" = "#ad5fc9", "dTg_STD" = "#bc91cc","WT_ENR" = "#6eca64", "WT_STD" = "#98cc93","APPswe_ENR" = "#d6564b", "APPswe_STD" = "#db867f","PS1dE9_ENR" = "#918730", "PS1dE9_STD" = "#c5b740"))

mo14  %>%
mutate(mo14, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Condition))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length 13-14mo mice")+scale_fill_manual(values = c("dTg_ENR" = "#ad5fc9", "dTg_STD" = "#bc91cc","WT_ENR" = "#6eca64", "WT_STD" = "#98cc93","APPswe_ENR" = "#d6564b", "APPswe_STD" = "#db867f","PS1dE9_ENR" = "#918730", "PS1dE9_STD" = "#c5b740"))

mo25  %>%
mutate(mo25, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=path.length, fill=Condition))+geom_boxplot()+
  labs(x="Day",
       y="Average Path length",
       title="Mean Path length 17-25mo mice")+scale_fill_manual(values = c("dTg_ENR" = "#6c7ed7", "dTg_STD" = "#909ef3","WT_ENR" = "#9f48a3", "WT_STD" = "#ce73cf","APPswe_ENR" = "#c85632", "APPswe_STD" = "#e9724b","PS1dE9_ENR" = "#9f9201", "PS1dE9_STD" = "#cab95b"))

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Boxplot explanation:
Middle line in box -> Median
Box -> shows middle 50% of data(Distance between 1. and 3. Quartil)
Whisker(vertikal lines) -> show upper/lower 25% of data w/o outliers
Points -> outlier

Velocity (Mean) Graphs

mo3=filter(Results, Age_group=='3')
mo14=filter(Results, Age_group=='13-14')
mo25=filter(Results, Age_group=='17-25')

mo3 %>%
  mutate(mo3, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
  ggplot(aes(x=`_Day`,y=mean.velocity, fill=Condition))+geom_boxplot()+
    labs(x="Day",
       y="Average Velocity",
       title="Mean Velocity 3mo mice")+scale_fill_manual(values = c("dTg_ENR" = "#ad5fc9", "dTg_STD" = "#bc91cc","WT_ENR" = "#6eca64", "WT_STD" = "#98cc93","APPswe_ENR" = "#d6564b", "APPswe_STD" = "#db867f","PS1dE9_ENR" = "#918730", "PS1dE9_STD" = "#c5b740"))

mo14  %>%
mutate(mo14, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=mean.velocity, fill=Condition))+geom_boxplot()+
  labs(x="Day",
       y="Average Velocity",
       title="Mean Velocity 13-14mo mice")+scale_fill_manual(values = c("dTg_ENR" = "#ad5fc9", "dTg_STD" = "#bc91cc","WT_ENR" = "#6eca64", "WT_STD" = "#98cc93","APPswe_ENR" = "#d6564b", "APPswe_STD" = "#db867f","PS1dE9_ENR" = "#918730", "PS1dE9_STD" = "#c5b740"))

mo25  %>%
mutate(mo25, `_Day`=fct_relevel(`_Day`,"1","2","3","4","5","6","7","8","9","10"))%>%
ggplot(aes(x=`_Day`,y=mean.velocity, fill=Condition))+geom_boxplot()+
  labs(x="Day",
       y="Average Velocity",
       title="Mean Velocity 17-25mo mice")+scale_fill_manual(values = c("dTg_ENR" = "#6c7ed7", "dTg_STD" = "#909ef3","WT_ENR" = "#9f48a3", "WT_STD" = "#ce73cf","APPswe_ENR" = "#c85632", "APPswe_STD" = "#e9724b","PS1dE9_ENR" = "#9f9201", "PS1dE9_STD" = "#cab95b"))

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Strategy (Thresholded) Graphs

par(mfrow = c(2, 2))
Rtrack::plot_strategies(Rtrack::threshold_strategies(strategies, 0.4), experiment = experiment,
                        factor = "All", exclude.probe = TRUE)

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Probe Trial Number of Goals Crossings

mo3.probe=filter(Results, Age_group=='3'&`_Day`=='7'&`_Trial`=='1')
mo14.probe=filter(Results, Age_group=='13-14'&`_Day`=='7'&`_Trial`=='1')
mo25.probe=filter(Results, Age_group=='17-25'&`_Day`=='7'&`_Trial`=='1')

mo3.probe %>%
  ggplot(aes(x=`Strain`,y=goal.crossings, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Number of Goal Crossings",
       title="Probe Trial Number of Goal Crossings 3mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo14.probe  %>%
ggplot(aes(x=`Strain`,y=goal.crossings, fill=Housing))+geom_boxplot()+
  labs(x="Condition",
       y="Number of Goal Crossings",
       title="Probe Trial Number of Goal Crossings 13-14mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo25.probe  %>%
ggplot(aes(x=`Strain`,y=goal.crossings, fill=Housing))+geom_boxplot()+
  labs(x="Condition",
       y="Number of Goal Crossings",
       title="Probe Trial Number of Goal Crossings 17-25mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

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Probe Trial Number of former Goals Crossings

mo3.probe=filter(Results, Age_group=='3'&`_Day`=='7'&`_Trial`=='1')
mo14.probe=filter(Results, Age_group=='13-14'&`_Day`=='7'&`_Trial`=='1')
mo25.probe=filter(Results, Age_group=='17-25'&`_Day`=='7'&`_Trial`=='1')

mo3.probe %>%
  ggplot(aes(x=`Strain`,y=old.goal.crossings, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Number of old Goal Crossings",
       title="Probe Trial Number of former Goal Crossings 3mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo14.probe  %>%
  ggplot(aes(x=`Strain`,y=old.goal.crossings, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Number of old Goal Crossings",
       title="Probe Trial Number of former Goal Crossings 13-14mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo25.probe  %>%
  ggplot(aes(x=`Strain`,y=old.goal.crossings, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Number of Old Goal Crossings",
       title="Probe Trial Number of former Goal Crossings 17-25mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

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Probe Trial Time in old goal zone

mo3.probe=filter(Results, Age_group=='3'&`_Day`=='7'&`_Trial`=='1')
mo14.probe=filter(Results, Age_group=='13-14'&`_Day`=='7'&`_Trial`=='1')
mo25.probe=filter(Results, Age_group=='17-25'&`_Day`=='7'&`_Trial`=='1')

mo3.probe %>%
  ggplot(aes(x=`Strain`,y=time.in.zone.old.goal, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Time in s",
       title="Probe Trial Time spent in old goal 3mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo14.probe  %>%
  ggplot(aes(x=`Strain`,y=time.in.zone.old.goal, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Time in s",
       title="Probe Trial Time spent in old goal 13-14mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo25.probe  %>%
  ggplot(aes(x=`Strain`,y=time.in.zone.old.goal, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Time in s",
       title="Probe Trial Time spent in old goal 17-25mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

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Probe Trial Mean Initial heading error

mo3.probe=filter(Results, Age_group=='3'&`_Day`=='7'&`_Trial`=='1')
mo14.probe=filter(Results, Age_group=='13-14'&`_Day`=='7'&`_Trial`=='1')
mo25.probe=filter(Results, Age_group=='17-25'&`_Day`=='7'&`_Trial`=='1')

mo3.probe %>%
  ggplot(aes(x=`Strain`,y=`mean.initial.heading.error`, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Initial heading error in %??",
       title="Probe Trial Mean Initial heading error 3mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo14.probe  %>%
  ggplot(aes(x=`Strain`,y=`mean.initial.heading.error`, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Initial heading error in %??",
       title="Probe Trial Mean Initial heading error 13-14mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

mo25.probe  %>%
  ggplot(aes(x=`Strain`,y=`mean.initial.heading.error`, fill=Housing))+geom_boxplot()+
    labs(x="Condition",
       y="Initial heading error in ???",
       title="Probe Trial Mean Initial heading error 17-25mo mice")+scale_fill_manual(values = c("ENR"="#b3669e","STD"="#98984d"))

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Strategy Legend

• 1 - thigmotaxis
  
• 2 - circling
  
• 3 - random path
  
• 4 - scanning
  
• 5 - chaining
  
• 6 - directed search
  
• 7 - corrected search
  
• 8 - direct path
  
• 9 - perseverance

Strategies 1-5 are less hippocampus-dependent, ‘unspatial’ and therefore get strategy.class = 0. In contrast to that, strategies 6-9 are more hippocampus-dependent, ‘spatial’ and get strategy.class = 1 assigned.

All probabilities in the following codes relate to choosing strategy.class = 1.

setwd("C:/Google/Uni/Bachelorarbeit/R/Analysis")
logistic.data=read_excel("logistic.reg.xlsx")

Age group 17-25 Housing

logistic.data.1725=filter(logistic.data, Age_group1725=='1')

fitting different logistic regression models with increasing complexity
simple model including housing only

logreg.1725.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.1725)

simple model including Strain only

logreg.1725.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.1725)

additive model including all factors

logreg.1725.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.1725)

interaction model including all factors

logreg.1725.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.1725)

Model comparisons using the anova function

anova(logreg.1725.add.1b, logreg.1725.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      1308     1775.6                          
2      1310     1811.7 -2  -36.096 1.452e-08 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model including Strain better than model including housing

anova(logreg.1725.add.2, logreg.1725.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1      1307     1774.6                     
2      1308     1775.6 -1  -1.0162   0.3134

adding factor housing does not improve the model

anova(logreg.1725.int, logreg.1725.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1      1304     1771.3                     
2      1308     1775.6 -4  -4.3588   0.3596

interaction model not better than additive model simple model including Strain only is the minimal adequate model

summary of minimal adequate model

summary(logreg.1725.add.1b)

Call:
glm(formula = strategy.class ~ Strain, family = binomial, data = logistic.data.1725)

Deviance Residuals: 
   Min      1Q  Median      3Q     Max  
-1.325  -1.222   1.037   1.037   1.475  

Coefficients:
             Estimate Std. Error z value Pr(>|z|)    
(Intercept)   0.10318    0.14378   0.718 0.472979    
StraindTg    -0.78083    0.20945  -3.728 0.000193 ***
StrainPS1dE9 -0.03339    0.20966  -0.159 0.873472    
StrainWT      0.23739    0.16168   1.468 0.142040    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 1813.9  on 1311  degrees of freedom
Residual deviance: 1775.6  on 1308  degrees of freedom
AIC: 1783.6

Number of Fisher Scoring iterations: 4

exp(coef(logreg.1725.add.1b))

 (Intercept)    StraindTg StrainPS1dE9     StrainWT 
   1.1086957    0.4580270    0.9671628    1.2679321 

impact of predictor “Strain”

pred.data <- data.frame(Strain=c("WT", "dTg", "PS1dE9", "APPswe"))
pred.data$prob <- predict(logreg.1725.add.1b, newdata = pred.data, type = "response")
pred.data

  Strain      prob
1     WT 0.5843293
2    dTg 0.3367876
3 PS1dE9 0.5174419
4 APPswe 0.5257732

impact of predictor “housing”

pred.data2 <- data.frame(Housing=c("STD","ENR"))
pred.data2$prob <- predict(logreg.1725.add.1a, newdata = pred.data2, type = "response")
pred.data2

  Housing      prob
1     STD 0.5504451
2     ENR 0.5094044

Age group 13-14 Strain x Housing effects

logistic.data.1314=filter(logistic.data, Age_group1314=='1')

fitting different logistic regression models with increasing complexity simple model including housing only

logreg.1314.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.1314)

simple model including Strain only

logreg.1314.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.1314)

additive model including all factors

logreg.1314.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.1314)

interaction model including all factors

logreg.1314.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.1314)

model comparisons using the anova function

anova(logreg.1314.add.1b, logreg.1314.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1      1306     1724.2                     
2      1306     1804.4  0   -80.16         

no Df, same model fit?

anova(logreg.1314.add.2, logreg.1314.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
1      1305     1718.1                       
2      1306     1724.2 -1  -6.1765  0.01295 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

additive model shows significantly better fit (Pr=0.01295)

anova(logreg.1314.int, logreg.1314.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)   
1      1304     1712.2                        
2      1306     1724.2 -2  -11.999  0.00248 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

interaction model better than simple Strain model (Pr=0.00248) interaction model including Strain*Housing is the best fitting model

summary of minimal adequate model

summary(logreg.1314.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.1314)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.4842  -0.9285  -0.9253   1.1143   1.4525  

Coefficients:
                     Estimate Std. Error z value Pr(>|z|)    
(Intercept)         -0.626772   0.118643  -5.283 1.27e-07 ***
HousingSTD           0.008426   0.167152   0.050   0.9598    
StrainWT             1.324112   0.163290   8.109 5.11e-16 ***
HousingSTD:StrainWT -0.555484   0.230430  -2.411   0.0159 *  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 1811.7  on 1307  degrees of freedom
Residual deviance: 1712.3  on 1304  degrees of freedom
AIC: 1720.3

Number of Fisher Scoring iterations: 4

exp(coef(logreg.1314.int))

        (Intercept)          HousingSTD            StrainWT HousingSTD:StrainWT 
          0.5343137           1.0084617           3.7588467           0.5737945 

impact of predictor "Strain*Housing"

pred.data1314 <- data.frame(Strain=c("WT", "WT","dTg","dTg"),Housing=c("STD","ENR","STD","ENR"))
pred.data1314$prob <- predict(logreg.1314.int, newdata = pred.data1314, type = "response")
pred.data1314

  Strain Housing      prob
1     WT     STD 0.5375000
2     WT     ENR 0.6675978
3    dTg     STD 0.3501577
4    dTg     ENR 0.3482428

Age group 3 Strain x Housing

logistic.data.3=filter(logistic.data, Age_group3=='1')

fitting different logistic regression models with increasing complexity simple model including housing only

logreg.3.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.3)

simple model including Strain only

logreg.3.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.3)

additive model including all factors

logreg.3.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.3)

interaction model including all factors

logreg.3.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.3)

comparisons between model using the anova function

anova(logreg.3.add.1b, logreg.3.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      3336     4458.5                          
2      3338     4516.0 -2  -57.513 3.245e-13 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model with Strain only is really good (Pr=3.245e-13)

anova(logreg.3.add.2, logreg.3.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      3335     4440.3                          
2      3336     4458.5 -1  -18.243 1.945e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

adding factor housing also has good fit (Pr=1.945e-5)

anova(logreg.3.int, logreg.3.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      3332     4428.8                          
2      3336     4458.5 -4  -29.694 5.648e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

interaction model better than additive model (Pr=5.648e-6) interaction model is the best

summary of Strain only model

summary(logreg.3.add.1b)

Call:
glm(formula = strategy.class ~ Strain, family = binomial, data = logistic.data.3)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.4508  -1.3122   0.9267   1.0483   1.2183  

Coefficients:
             Estimate Std. Error z value Pr(>|z|)    
(Intercept)   0.31144    0.06899   4.514 6.35e-06 ***
StraindTg    -0.40719    0.09715  -4.192 2.77e-05 ***
StrainPS1dE9  0.31166    0.09914   3.143  0.00167 ** 
StrainWT      0.30702    0.10290   2.984  0.00285 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 4529.0  on 3339  degrees of freedom
Residual deviance: 4458.5  on 3336  degrees of freedom
AIC: 4466.5

Number of Fisher Scoring iterations: 4

exp(coef(logreg.3.add.1b))  

 (Intercept)    StraindTg StrainPS1dE9     StrainWT 
   1.3653846    0.6655165    1.3656859    1.3593683 

summary of interaction model

summary(logreg.3.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.3)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.5713  -1.2014   0.8293   1.0221   1.2715  

Coefficients:
                         Estimate Std. Error z value Pr(>|z|)    
(Intercept)              0.571375   0.099833   5.723 1.04e-08 ***
HousingSTD              -0.515022   0.139153  -3.701 0.000215 ***
StraindTg               -0.567129   0.135864  -4.174 2.99e-05 ***
StrainPS1dE9             0.319191   0.145466   2.194 0.028217 *  
StrainWT                -0.008040   0.153664  -0.052 0.958274    
HousingSTD:StraindTg     0.292295   0.195814   1.493 0.135512    
HousingSTD:StrainPS1dE9  0.001266   0.200208   0.006 0.994953    
HousingSTD:StrainWT      0.610701   0.207830   2.938 0.003298 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 4529.0  on 3339  degrees of freedom
Residual deviance: 4428.8  on 3332  degrees of freedom
AIC: 4444.8

Number of Fisher Scoring iterations: 4

exp(coef(logreg.3.int))

            (Intercept)              HousingSTD               StraindTg 
              1.7707006               0.5974872               0.5671514 
           StrainPS1dE9                StrainWT    HousingSTD:StraindTg 
              1.3760135               0.9919925               1.3394975 
HousingSTD:StrainPS1dE9     HousingSTD:StrainWT 
              1.0012672               1.8417220 

impact of predictor “Strain”

pred.data3 <- data.frame(Strain=c("WT", "dTg", "PS1dE9", "APPswe"))
pred.data3$prob <- predict(logreg.3.add.1b, newdata = pred.data3, type = "response")
pred.data3

  Strain      prob
1     WT 0.6498674
2    dTg 0.4760793
3 PS1dE9 0.6509217
4 APPswe 0.5772358

impact of predictors “Strain x Housing”

pred.data3x <- data.frame(Strain=c("WT","WT", "dTg","dTg", "PS1dE9","PS1dE9", "APPswe","APPswe"),Housing=c("STD","ENR","STD","ENR","STD","ENR","STD","ENR"))
pred.data3x$prob <- predict(logreg.3.int, newdata = pred.data3x, type = "response")
pred.data3x

  Strain Housing      prob
1     WT     STD 0.6590389
2     WT     ENR 0.6372240
3    dTg     STD 0.4455959
4    dTg     ENR 0.5010616
5 PS1dE9     STD 0.5931034
6 PS1dE9     ENR 0.7090069
7 APPswe     STD 0.5140845
8 APPswe     ENR 0.6390805

The full overview of the logistic regression results table is here.

Age group 17-25 acquisition Strain

logistic.data.1725.acq=filter(logistic.data.1725, `_Day`=='1'|`_Day`=='2'|`_Day`=='3'|`_Day`=='4'|`_Day`=='5'|`_Day`=='6')

fitting different logistic regression models with increasing complexity
simple model including housing only

logreg.1725.acq.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.1725.acq)

simple model including Strain only

logreg.1725.acq.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.1725.acq)

additive model including all factors

logreg.1725.acq.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.1725.acq)

interaction model including all factors

logreg.1725.acq.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.1725.acq)

Model comparisons using the anova function

anova(logreg.1725.acq.add.1b, logreg.1725.acq.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1       788     1067.9                          
2       790     1088.0 -2  -20.051 4.427e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model including Strain better than model including housing

anova(logreg.1725.acq.add.2, logreg.1725.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df  Deviance Pr(>Chi)
1       787     1067.9                      
2       788     1067.9 -1 -0.016692   0.8972

adding factor housing does not improve the model

anova(logreg.1725.acq.int, logreg.1725.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       784     1063.0                     
2       788     1067.9 -4  -4.9469   0.2928

summary(logreg.1725.acq.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.1725.acq)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.1632  -1.1575  -0.8672   1.1974   1.8182  

Coefficients:
                        Estimate Std. Error z value Pr(>|z|)  
(Intercept)             -0.69315    0.30619  -2.264   0.0236 *
HousingSTD               0.63599    0.38851   1.637   0.1016  
StraindTg               -0.09097    0.40387  -0.225   0.8218  
StrainPS1dE9             0.59471    0.39935   1.489   0.1364  
StrainWT                 0.64619    0.33547   1.926   0.0541 .
HousingSTD:StraindTg    -1.29223    0.59810  -2.161   0.0307 *
HousingSTD:StrainPS1dE9 -0.70460    0.54826  -1.285   0.1987  
HousingSTD:StrainWT     -0.62265    0.43190  -1.442   0.1494  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 1088.1  on 791  degrees of freedom
Residual deviance: 1063.0  on 784  degrees of freedom
AIC: 1079

Number of Fisher Scoring iterations: 4

exp(coef(logreg.1725.acq.int))

            (Intercept)              HousingSTD               StraindTg 
              0.5000000               1.8888889               0.9130435 
           StrainPS1dE9                StrainWT    HousingSTD:StraindTg 
              1.8125000               1.9082569               0.2746572 
HousingSTD:StrainPS1dE9     HousingSTD:StrainWT 
              0.4943049               0.5365216 

impact of predictor “Strain”

pred.data.17.acq <- data.frame(Strain=c("WT", "dTg", "PS1dE9", "APPswe"))
pred.data.17.acq$prob <- predict(logreg.1725.acq.add.1b, newdata = pred.data.17.acq, type = "response")
pred.data.17.acq

  Strain      prob
1     WT 0.4900222
2    dTg 0.2631579
3 PS1dE9 0.4678899
4 APPswe 0.4237288

impact of predictor “Housing”

pred.data.17.acq <- data.frame(Housing=c("STD","ENR"))
pred.data.17.acq$prob <- predict(logreg.1725.acq.add.1a, newdata = pred.data.17.acq, type = "response")
pred.data.17.acq

  Housing      prob
1     STD 0.4516129
2     ENR 0.4370180

Age group 17-25 reversal Strain

logistic.data.1725.rev=filter(logistic.data.1725, `_Day`=='7'|`_Day`=='8'|`_Day`=='9'|`_Day`=='10')

fitting different logistic regression models with increasing complexity
simple model including housing only

logreg.1725.rev.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.1725.rev)

simple model including Strain only

logreg.1725.rev.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.1725.rev)

additive model including all factors

logreg.1725.rev.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.1725.rev)

interaction model including all factors

logreg.1725.rev.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.1725.rev)

Model comparisons using the anova function

anova(logreg.1725.rev.add.1b, logreg.1725.rev.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1       516     643.08                          
2       518     662.36 -2   -19.28 6.509e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model including Strain better than model including housing

anova(logreg.1725.rev.add.2, logreg.1725.rev.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       515     641.11                     
2       516     643.08 -1  -1.9658   0.1609

adding factor housing does not improve the model

anova(logreg.1725.rev.int, logreg.1725.rev.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)   
1       512     627.21                        
2       516     643.08 -4  -15.869 0.003201 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

interaction model better than additive model

summary of minimal adequate model

summary(logreg.1725.rev.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.1725.rev)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.6567  -1.2049   0.7647   0.8340   1.6033  

Coefficients:
                        Estimate Std. Error z value Pr(>|z|)    
(Intercept)              0.79851    0.40139   1.989 0.046660 *  
HousingSTD              -0.04082    0.50895  -0.080 0.936071    
StraindTg               -1.75992    0.51715  -3.403 0.000666 ***
StrainPS1dE9            -0.73397    0.53877  -1.362 0.173105    
StrainWT                 0.28141    0.44533   0.632 0.527444    
HousingSTD:StraindTg     1.79069    0.71471   2.505 0.012229 *  
HousingSTD:StrainPS1dE9  0.76474    0.73051   1.047 0.295166    
HousingSTD:StrainWT     -0.16186    0.57128  -0.283 0.776929    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 665.61  on 519  degrees of freedom
Residual deviance: 627.21  on 512  degrees of freedom
AIC: 643.21

Number of Fisher Scoring iterations: 4

exp(coef(logreg.1725.rev.int))

            (Intercept)              HousingSTD               StraindTg 
              2.2222222               0.9600000               0.1720588 
           StrainPS1dE9                StrainWT    HousingSTD:StraindTg 
              0.4800000               1.3250000               5.9935897 
HousingSTD:StrainPS1dE9     HousingSTD:StrainWT 
              2.1484375               0.8505620 

impact of predictor “Strain”

pred.data.17.revs <- data.frame(Strain=c("WT","WT", "dTg","dTg", "PS1dE9","PS1dE9", "APPswe","APPswe"),Housing=c("STD","ENR","STD","ENR","STD","ENR","STD","ENR"))
pred.data.17.revs$prob <- predict(logreg.1725.rev.int, newdata = pred.data.17.revs, type = "response")
pred.data.17.revs

  Strain Housing      prob
1     WT     STD 0.7062500
2     WT     ENR 0.7464789
3    dTg     STD 0.6875000
4    dTg     ENR 0.2765957
5 PS1dE9     STD 0.6875000
6 PS1dE9     ENR 0.5161290
7 APPswe     STD 0.6808511
8 APPswe     ENR 0.6896552

Age group 13-14 acquisition Strain x Housing

logistic.data.acq.1314=filter(logistic.data.1314,  `_Day`=='1'|`_Day`=='2'|`_Day`=='3'|`_Day`=='4'|`_Day`=='5'|`_Day`=='6')

fitting different logistic regression models with increasing complexity simple model including housing only

logreg.1314.acq.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.acq.1314)

simple model including Strain only

logreg.1314.acq.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.acq.1314)

additive model including all factors

logreg.1314.acq.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.acq.1314)

interaction model including all factors

logreg.1314.acq.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.acq.1314)

comparisons between model using the anova function

anova(logreg.1314.acq.add.1b, logreg.1314.acq.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       779     1014.5                     
2       779     1049.4  0  -34.833         

model with Strain only is good

anova(logreg.1314.acq.add.2, logreg.1314.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
1       778     1009.0                       
2       779     1014.5 -1  -5.5851  0.01811 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

adding factor housing also has good fit

anova(logreg.1314.acq.int, logreg.1314.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
1       777     1008.2                       
2       779     1014.5 -2  -6.3566  0.04166 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

additive model better than interaction model additive model is the best

summary of interactive model

summary(logreg.1314.acq.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.acq.1314)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.2994  -1.0987  -0.7931   1.2582   1.6186  

Coefficients:
                    Estimate Std. Error z value Pr(>|z|)    
(Intercept)          -0.7916     0.1583  -5.001 5.70e-07 ***
HousingSTD           -0.2038     0.2278  -0.895    0.371    
StrainWT              1.0738     0.2100   5.112 3.18e-07 ***
HousingSTD:StrainWT  -0.2664     0.3033  -0.878    0.380    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 1055.6  on 780  degrees of freedom
Residual deviance: 1008.2  on 777  degrees of freedom
AIC: 1016.2

Number of Fisher Scoring iterations: 4

exp(coef(logreg.1314.acq.int))

        (Intercept)          HousingSTD            StrainWT HousingSTD:StrainWT 
          0.4531250           0.8155922           2.9265367           0.7660990 

impact of predictors “Strain x Housing”

pred.data1314.acq <- data.frame(Strain=c("WT","WT", "dTg","dTg"),Housing=c("STD","ENR","STD","ENR"))
pred.data1314.acq$prob <- predict(logreg.1314.acq.add.2, newdata = pred.data1314.acq, type = "response")
pred.data1314.acq

  Strain Housing      prob
1     WT     STD 0.4682013
2     WT     ENR 0.5565671
3    dTg     STD 0.2545257
4    dTg     ENR 0.3273906

Age group 13-14 reversal Strain x Housing

logistic.data.rev.1314=filter(logistic.data.1314,  `_Day`=='7'|`_Day`=='8'|`_Day`=='9'|`_Day`=='10')

fitting different logistic regression models with increasing complexity simple model including housing only

logreg.1314.rev.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.rev.1314)

simple model including Strain only

logreg.1314.rev.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.rev.1314)

additive model including all factors

logreg.1314.rev.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.rev.1314)

interaction model including all factors

logreg.1314.rev.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.rev.1314)

comparisons between model using the anova function

anova(logreg.1314.rev.add.1b, logreg.1314.rev.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       525     659.45                     
2       525     710.30  0  -50.855         

anova(logreg.1314.rev.add.2, logreg.1314.rev.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       524     658.28                     
2       525     659.45 -1  -1.1655   0.2803

adding factor does not improve model

anova(logreg.1314.rev.int, logreg.1314.rev.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
1       523     650.44                       
2       525     659.45 -2    -9.01  0.01105 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

interaction model better than additive model interaction model is the best

summary of interaction model

summary(logreg.1314.rev.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.rev.1314)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.8297  -1.1247   0.6444   0.9049   1.3508  

Coefficients:
                    Estimate Std. Error z value Pr(>|z|)    
(Intercept)          -0.3989     0.1810  -2.204  0.02754 *  
HousingSTD            0.2737     0.2533   1.081  0.27974    
StrainWT              1.8652     0.2799   6.664 2.67e-11 ***
HousingSTD:StrainWT  -1.0586     0.3805  -2.783  0.00539 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 711.87  on 526  degrees of freedom
Residual deviance: 650.44  on 523  degrees of freedom
AIC: 658.44

Number of Fisher Scoring iterations: 4

exp(coef(logreg.1314.rev.int))

        (Intercept)          HousingSTD            StrainWT HousingSTD:StrainWT 
          0.6710526           1.3148789           6.4575163           0.3469306 

impact of predictors “Strain x Housing”

pred.data1314.rev <- data.frame(Strain=c("WT","WT", "dTg","dTg"),Housing=c("STD","ENR","STD","ENR"))
pred.data1314.rev$prob <- predict(logreg.1314.rev.int, newdata = pred.data1314.rev, type = "response")
pred.data1314.rev

  Strain Housing      prob
1     WT     STD 0.6640625
2     WT     ENR 0.8125000
3    dTg     STD 0.4687500
4    dTg     ENR 0.4015748

Age group 3 acquisition Strain x Housing

logistic.data.acq.3=filter(logistic.data.3,  `_Day`=='1'|`_Day`=='2'|`_Day`=='3'|`_Day`=='4'|`_Day`=='5'|`_Day`=='6')

fitting different logistic regression models with increasing complexity simple model including housing only

logreg.3.acq.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.acq.3)

simple model including Strain only

logreg.3.acq.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.acq.3)

additive model including all factors

logreg.3.acq.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.acq.3)

interaction model including all factors

logreg.3.acq.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.acq.3)

comparisons between model using the anova function

anova(logreg.3.acq.add.1b, logreg.3.acq.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      1989     2683.6                          
2      1991     2753.3 -2  -69.785 7.021e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model with Strain only is really good

anova(logreg.3.acq.add.2, logreg.3.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      1988     2668.9                          
2      1989     2683.6 -1  -14.652 0.0001293 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

adding factor housing also has good fit

anova(logreg.3.acq.int, logreg.3.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      1985     2653.5                          
2      1989     2683.6 -4  -30.063 4.752e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

interaction model better than additive model interaction model is the best

summary of interaction model

summary(logreg.3.acq.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.acq.3)

Deviance Residuals: 
   Min      1Q  Median      3Q     Max  
-1.412  -1.234   0.960   1.089   1.624  

Coefficients:
                        Estimate Std. Error z value Pr(>|z|)    
(Intercept)              0.30111    0.12520   2.405 0.016175 *  
HousingSTD              -0.59571    0.17841  -3.339 0.000841 ***
StraindTg               -0.66816    0.17434  -3.832 0.000127 ***
StrainPS1dE9             0.23441    0.17942   1.307 0.191370    
StrainWT                -0.08980    0.19226  -0.467 0.640462    
HousingSTD:StraindTg    -0.04436    0.26255  -0.169 0.865840    
HousingSTD:StrainPS1dE9  0.19165    0.25270   0.758 0.448197    
HousingSTD:StrainWT      0.89318    0.26355   3.389 0.000701 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 2762.8  on 1992  degrees of freedom
Residual deviance: 2653.5  on 1985  degrees of freedom
AIC: 2669.5

Number of Fisher Scoring iterations: 4

exp(coef(logreg.3.acq.int))

            (Intercept)              HousingSTD               StraindTg 
              1.3513514               0.5511724               0.5126506 
           StrainPS1dE9                StrainWT    HousingSTD:StraindTg 
              1.2641667               0.9141176               0.9566127 
HousingSTD:StrainPS1dE9     HousingSTD:StrainWT 
              1.2112495               2.4428887 

impact of predictors “Strain x Housing”

pred.data3.acq <- data.frame(Strain=c("WT","WT", "dTg","dTg", "PS1dE9","PS1dE9", "APPswe","APPswe"),Housing=c("STD","ENR","STD","ENR","STD","ENR","STD","ENR"))
pred.data3.acq$prob <- predict(logreg.3.acq.int, newdata = pred.data3.acq, type = "response")
pred.data3.acq

  Strain Housing      prob
1     WT     STD 0.6245211
2     WT     ENR 0.5526316
3    dTg     STD 0.2675439
4    dTg     ENR 0.4092527
5 PS1dE9     STD 0.5328185
6 PS1dE9     ENR 0.6307692
7 APPswe     STD 0.4268775
8 APPswe     ENR 0.5747126

Age group 3 reversal Strain x Housing

logistic.data.rev.3=filter(logistic.data.3,  `_Day`=='7'|`_Day`=='8'|`_Day`=='9'|`_Day`=='10')

fitting different logistic regression models with increasing complexity simple model including housing only

logreg.3.rev.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = logistic.data.rev.3)

simple model including Strain only

logreg.3.rev.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = logistic.data.rev.3)

additive model including all factors

logreg.3.rev.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = logistic.data.rev.3)

interaction model including all factors

logreg.3.rev.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = logistic.data.rev.3)

comparisons between model using the anova function

anova(logreg.3.rev.add.1b, logreg.3.rev.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1      1343     1614.9                     
2      1345     1618.3 -2  -3.3859    0.184

model with Strain only is really good (Pr=3.245e-13)

anova(logreg.3.rev.add.2, logreg.3.rev.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
1      1342     1609.6                       
2      1343     1614.9 -1   -5.326  0.02101 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

adding factor housing also has good fit (Pr=1.945e-5)

anova(logreg.3.rev.int, logreg.3.rev.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)   
1      1339     1598.6                        
2      1343     1614.9 -4  -16.331 0.002606 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

interaction model better than additive model (Pr=5.648e-6) interaction model is the best

summary of interaction model

summary(logreg.3.rev.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = logistic.data.rev.3)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.8720  -1.4233   0.7836   0.8752   0.9500  

Coefficients:
                        Estimate Std. Error z value Pr(>|z|)    
(Intercept)               1.0234     0.1719   5.953 2.63e-09 ***
HousingSTD               -0.4410     0.2339  -1.886   0.0593 .  
StraindTg                -0.4617     0.2287  -2.019   0.0435 *  
StrainPS1dE9              0.5383     0.2643   2.036   0.0417 *  
StrainWT                  0.1501     0.2705   0.555   0.5790    
HousingSTD:StraindTg      0.7387     0.3282   2.251   0.0244 *  
HousingSTD:StrainPS1dE9  -0.3585     0.3481  -1.030   0.3031    
HousingSTD:StrainWT       0.1640     0.3549   0.462   0.6441    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 1622.9  on 1346  degrees of freedom
Residual deviance: 1598.6  on 1339  degrees of freedom
AIC: 1614.6

Number of Fisher Scoring iterations: 4

exp(coef(logreg.3.rev.int))

            (Intercept)              HousingSTD               StraindTg 
              2.7826087               0.6433972               0.6302083 
           StrainPS1dE9                StrainWT    HousingSTD:StraindTg 
              1.7130208               1.1619792               2.0931950 
HousingSTD:StrainPS1dE9     HousingSTD:StrainWT 
              0.6987137               1.1781761 

impact of predictors “Strain x Housing”

pred.data3.rev <- data.frame(Strain=c("WT","WT", "dTg","dTg", "PS1dE9","PS1dE9", "APPswe","APPswe"),Housing=c("STD","ENR","STD","ENR","STD","ENR","STD","ENR"))
pred.data3.rev$prob <- predict(logreg.3.rev.int, newdata = pred.data3.rev, type = "response")
pred.data3.rev

  Strain Housing      prob
1     WT     STD 0.7102273
2     WT     ENR 0.7637795
3    dTg     STD 0.7025316
4    dTg     ENR 0.6368421
5 PS1dE9     STD 0.6818182
6 PS1dE9     ENR 0.8265896
7 APPswe     STD 0.6416185
8 APPswe     ENR 0.7356322

Results

Results table can be seen here

2D - Age group 3

setwd("C:/Google/Uni/Bachelorarbeit/R/Analysis")
probs=read_excel("results_logistic_new.xlsx")
probs$`Experiment_Phase`=as.factor(probs$`Experiment_Phase`)
probs3=filter(probs, Age_group=='3' & Model=='STRAIN*HOUSING')

gg = ggplot(probs3, mapping=aes(x=Strain, y=Probability, color=Housing)) + geom_jitter() + facet_grid(~Experiment_Phase) + labs(x="Strain", y="P(strategy.class 1)", title="Probability of 3 months old mice using Strategy class 1")

ggplotly(p=gg, height=400, width=800)

Strain*Housing interaction model used for predictions.

2D - Age group 13-14

probs13=filter(probs, Age_group=='13-14')

gg = ggplot(probs13, mapping=aes(x=Strain, y=Probability, color=Housing)) + geom_jitter() + facet_grid(~Experiment_Phase) + labs(x="Strain", y="P(strategy.class 1)", title="Probability of 13-14 months old mice using Strategy class 1")
ggplotly(gg, height=400, width=800)

Strain*Housing interaction model used for predictions of REV and BOTH phases. In the ACQ experiment phase, the additive model (Strain+Housing) shows the best fit. Take a look here

2D - Age group 17-25

probs17=filter(probs, Age_group=='17-25')

gg = ggplot(probs17, mapping=aes(x=Strain, y=Probability, color=Housing)) + geom_jitter() + facet_grid(~Experiment_Phase) + labs(x="Strain", y="P(strategy.class 1)", title="Probability of 17-25 months old mice using Strategy class 1", caption="test")
ggplotly(gg, height=400, width=800)

Strategy.class ~ Strain and Strategy.class ~ Housing models were used separately for ACQ and Both experiment phases. REV phase has best model fit with interaction model.

3D Surface Plot

x=c("WT","dTg","PS1dE9","APPswe")
y=c("STD","ENR","ACQ STD","ACQ ENR", "REV STD", "REV ENR")
z=rbind(
  c(0.1590389,-0.0544041,0.0931034,0.0140845),
  c(0.137224,0.0010616,0.2090069,0.1390805),
  c(0.1245211,-0.2324561,0.0328185,-0.0731225),
  c(0.0526316,-0.0907473,0.1307692,0.0747126),
  c(0.2102273,0.2025316,0.1818182,0.1416185),
  c(0.2637795,0.1368421,0.3265896,0.2356322)
)
z2=rbind(
  c(0,0,0,0),c(0,0,0,0),c(0,0,0,0),c(0,0,0,0),c(0,0,0,0),c(0,0,0,0))
  
ebene= plot_ly(type="surface", x=~x, y=~y, z=~z)
ebene= ebene %>% add_surface(z=~z2)
ebene= ebene %>% layout( title='Probability of Strategy class 1 in 3 months old mice compared to p=0.5')
ebene

Interactive plot created with plotly(Sievert et al., 2021) library.

testing citations(Garthe et al., 2016)

RTrack package used(Overall, 2020)

Strategy Legend

• 1 - thigmotaxis
  
• 2 - circling
  
• 3 - random path
  
• 4 - scanning
  
• 5 - chaining
  
• 6 - directed search
  
• 7 - corrected search
  
• 8 - direct path
  
• 9 - perseverance

Strategies 1-5 are less hippocampus-dependent, ‘unspatial’ and therefore get strategy.class = 0. In contrast to that, strategies 6-9 are more hippocampus-dependent, ‘spatial’ and get strategy.class = 1 assigned.

All probabilities in the following codes relate to choosing strategy.class = 1.

setwd("C:/Google/Uni/Bachelorarbeit/R/Analysis")
ogistic.data=read_excel("logistic_reg_thresh.xlsx")

Age group 17-25 Housing

ogistic.data.1725=filter(ogistic.data, Age_group1725=='1')

fitting different logistic regression models with increasing complexity
simple model including housing only

ogreg.1725.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = ogistic.data.1725)

simple model including Strain only

ogreg.1725.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = ogistic.data.1725)

additive model including all factors

ogreg.1725.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = ogistic.data.1725)

interaction model including all factors

ogreg.1725.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = ogistic.data.1725)

Model comparisons using the anova function

anova(ogreg.1725.add.1b, ogreg.1725.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1       932     1124.8                          
2       934     1168.0 -2  -43.211 4.139e-10 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model including Strain better than model including housing

anova(ogreg.1725.add.2, ogreg.1725.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       931     1123.7                     
2       932     1124.8 -1   -1.068   0.3014

adding factor housing does not improve the model

anova(ogreg.1725.int, ogreg.1725.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       928     1118.0                     
2       932     1124.8 -4  -6.7896   0.1474

interaction model not better than additive model simple model including Strain only is the minimal adequate model

summary of minimal adequate model

summary(ogreg.1725.add.1b)

Call:
glm(formula = strategy.class ~ Strain, family = binomial, data = ogistic.data.1725)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.6554  -1.0524   0.7657   0.7657   1.3078  

Coefficients:
             Estimate Std. Error z value Pr(>|z|)    
(Intercept)   0.69315    0.18058   3.838 0.000124 ***
StraindTg    -0.99462    0.25461  -3.906 9.37e-05 ***
StrainPS1dE9  0.03774    0.26570   0.142 0.887047    
StrainWT      0.38380    0.20539   1.869 0.061669 .  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 1171.2  on 935  degrees of freedom
Residual deviance: 1124.8  on 932  degrees of freedom
AIC: 1132.8

Number of Fisher Scoring iterations: 4

exp(coef(ogreg.1725.add.1b))

 (Intercept)    StraindTg StrainPS1dE9     StrainWT 
    2.000000     0.369863     1.038462     1.467857 

impact of predictor “Strain”

pre.data <- data.frame(Strain=c("WT", "dTg", "PS1dE9", "APPswe"))
pre.data$prob <- predict(ogreg.1725.add.1b, newdata = pre.data, type = "response")
pre.data

  Strain      prob
1     WT 0.7459165
2    dTg 0.4251969
3 PS1dE9 0.6750000
4 APPswe 0.6666667

impact of predictor “housing”

pre.data2 <- data.frame(Housing=c("STD","ENR"))
pre.data2$prob <- predict(ogreg.1725.add.1a, newdata = pre.data2, type = "response")
pre.data2

  Housing      prob
1     STD 0.7075665
2     ENR 0.6532438

Age group 13-14 Strain x Housing effects

ogistic.data.1314=filter(ogistic.data, Age_group1314=='1')

fitting different logistic regression models with increasing complexity simple model including housing only

ogreg.1314.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = ogistic.data.1314)

simple model including Strain only

ogreg.1314.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = ogistic.data.1314)

additive model including all factors

ogreg.1314.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = ogistic.data.1314)

interaction model including all factors

ogreg.1314.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = ogistic.data.1314)

model comparisons using the anova function

anova(ogreg.1314.add.1b, ogreg.1314.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       868     1024.4                     
2       868     1117.1  0   -92.65         

no Df, same model fit?

anova(ogreg.1314.add.2, ogreg.1314.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       867     1023.8                     
2       868     1024.4 -1 -0.58952   0.4426

additive model shows significantly better fit (Pr=0.01295)

anova(ogreg.1314.int, ogreg.1314.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
1       866     1015.5                       
2       868     1024.4 -2  -8.9111  0.01161 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

interaction model better than simple Strain model (Pr=0.00248) interaction model including Strain*Housing is the best fitting model

summary of minimal adequate model

summary(ogreg.1314.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = ogistic.data.1314)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.9169  -1.0996   0.5890   0.7732   1.2573  

Coefficients:
                    Estimate Std. Error z value Pr(>|z|)    
(Intercept)          -0.1859     0.1403  -1.325  0.18514    
HousingSTD            0.2720     0.2030   1.339  0.18041    
StrainWT              1.8496     0.2176   8.501  < 2e-16 ***
HousingSTD:StrainWT  -0.8813     0.3064  -2.877  0.00402 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 1118.3  on 869  degrees of freedom
Residual deviance: 1015.5  on 866  degrees of freedom
AIC: 1023.5

Number of Fisher Scoring iterations: 4

exp(coef(ogreg.1314.int))

        (Intercept)          HousingSTD            StrainWT HousingSTD:StrainWT 
          0.8303571           1.3125529           6.3575894           0.4142512 

impact of predictor "Strain*Housing"

pre.data1314 <- data.frame(Strain=c("WT", "WT","dTg","dTg"),Housing=c("STD","ENR","STD","ENR"))
pre.data1314$prob <- predict(ogreg.1314.int, newdata = pre.data1314, type = "response")
pre.data1314

  Strain Housing      prob
1     WT     STD 0.7416268
2     WT     ENR 0.8407407
3    dTg     STD 0.5215054
4    dTg     ENR 0.4536585

Age group 3 Strain x Housing

ogistic.data.3=filter(ogistic.data, Age_group3=='1')

fitting different logistic regression models with increasing complexity simple model including housing only

ogreg.3.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = ogistic.data.3)

simple model including Strain only

ogreg.3.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = ogistic.data.3)

additive model including all factors

ogreg.3.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = ogistic.data.3)

interaction model including all factors

ogreg.3.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = ogistic.data.3)

comparisons between model using the anova function

anova(ogreg.3.add.1b, ogreg.3.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1      2393     2730.5                          
2      2395     2803.6 -2  -73.096 < 2.2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model with Strain only is really good (Pr=3.245e-13)

anova(ogreg.3.add.2, ogreg.3.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
1      2392     2726.2                       
2      2393     2730.5 -1  -4.2311  0.03969 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

adding factor housing also has good fit (Pr=1.945e-5)

anova(ogreg.3.int, ogreg.3.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1      2389     2724.1                     
2      2393     2730.5 -4  -6.3947   0.1715

additive model better than interaction model (Pr=5.648e-6) additive model is the best

summary of Strain only model

summary(ogreg.3.add.1b)

Call:
glm(formula = strategy.class ~ Strain, family = binomial, data = ogistic.data.3)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.8414  -1.3582   0.7065   0.8176   1.0068  

Coefficients:
             Estimate Std. Error z value Pr(>|z|)    
(Intercept)   0.92408    0.08834  10.461  < 2e-16 ***
StraindTg    -0.50857    0.12243  -4.154 3.27e-05 ***
StrainPS1dE9  0.33659    0.12929   2.603  0.00923 ** 
StrainWT      0.56859    0.14248   3.991 6.59e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 2805.7  on 2396  degrees of freedom
Residual deviance: 2730.5  on 2393  degrees of freedom
AIC: 2738.5

Number of Fisher Scoring iterations: 4

exp(coef(ogreg.3.add.1b))  

 (Intercept)    StraindTg StrainPS1dE9     StrainWT 
   2.5195531    0.6013573    1.4001601    1.7657813 

summary of additive model model

summary(ogreg.3.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = ogistic.data.3)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.8573  -1.2841   0.6659   0.7928   1.0743  

Coefficients:
                        Estimate Std. Error z value Pr(>|z|)    
(Intercept)               0.9963     0.1194   8.343  < 2e-16 ***
HousingSTD               -0.1629     0.1776  -0.917  0.35906    
StraindTg                -0.4404     0.1665  -2.645  0.00816 ** 
StrainPS1dE9              0.3971     0.1791   2.216  0.02666 *  
StrainWT                  0.4506     0.2058   2.190  0.02854 *  
HousingSTD:StraindTg     -0.1456     0.2462  -0.592  0.55417    
HousingSTD:StrainPS1dE9  -0.1140     0.2595  -0.440  0.66027    
HousingSTD:StrainWT       0.2445     0.2866   0.853  0.39374    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 2805.7  on 2396  degrees of freedom
Residual deviance: 2724.1  on 2389  degrees of freedom
AIC: 2740.1

Number of Fisher Scoring iterations: 4

exp(coef(ogreg.3.int))

            (Intercept)              HousingSTD               StraindTg 
              2.7083333               0.8496756               0.6437870 
           StrainPS1dE9                StrainWT    HousingSTD:StraindTg 
              1.4874725               1.5692308               0.8644712 
HousingSTD:StrainPS1dE9     HousingSTD:StrainWT 
              0.8922211               1.2769194 

impact of predictor “Strain”

pre.data3 <- data.frame(Strain=c("WT", "dTg", "PS1dE9", "APPswe"))
pre.data3$prob <- predict(ogreg.3.add.1b, newdata = pre.data3, type = "response")
pre.data3

  Strain      prob
1     WT 0.8164794
2    dTg 0.6024096
3 PS1dE9 0.7791411
4 APPswe 0.7158730

impact of predictors “Strain + Housing”

pre.data3x <- data.frame(Strain=c("WT","WT", "dTg","dTg", "PS1dE9","PS1dE9", "APPswe","APPswe"),Housing=c("STD","ENR","STD","ENR","STD","ENR","STD","ENR"))
pre.data3x$prob <- predict(ogreg.3.add.2, newdata = pre.data3x, type = "response")
pre.data3x

  Strain Housing      prob
1     WT     STD 0.8040861
2     WT     ENR 0.8327355
3    dTg     STD 0.5768254
4    dTg     ENR 0.6231321
5 PS1dE9     STD 0.7611506
6 PS1dE9     ENR 0.7944739
7 APPswe     STD 0.6935843
8 APPswe     ENR 0.7330278

The full overview of the logistic regression results table is here.

Age group 17-25 acquisition Strain

ogistic.data.1725.acq=filter(ogistic.data.1725, `_Day`=='1'|`_Day`=='2'|`_Day`=='3'|`_Day`=='4'|`_Day`=='5'|`_Day`=='6')

fitting different logistic regression models with increasing complexity
simple model including housing only

ogreg.1725.acq.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = ogistic.data.1725.acq)

simple model including Strain only

ogreg.1725.acq.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = ogistic.data.1725.acq)

additive model including all factors

ogreg.1725.acq.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = ogistic.data.1725.acq)

interaction model including all factors

ogreg.1725.acq.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = ogistic.data.1725.acq)

Model comparisons using the anova function

anova(ogreg.1725.acq.add.1b, ogreg.1725.acq.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1       552     733.82                          
2       554     752.57 -2  -18.747 8.493e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model including Strain better than model including housing

anova(ogreg.1725.acq.add.2, ogreg.1725.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing + Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df   Deviance Pr(>Chi)
1       551     733.82                       
2       552     733.82 -1 -0.0068548    0.934

adding factor housing does not improve the model

anova(ogreg.1725.acq.int, ogreg.1725.acq.add.1b, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Housing * Strain
Model 2: strategy.class ~ Strain
  Resid. Df Resid. Dev Df Deviance Pr(>Chi)
1       548     730.06                     
2       552     733.82 -4  -3.7677   0.4384

summary(ogreg.1725.acq.int)

Call:
glm(formula = strategy.class ~ Housing * Strain, family = binomial, 
    data = ogistic.data.1725.acq)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.4516  -1.3893   0.9260   0.9612   1.6394  

Coefficients:
                        Estimate Std. Error z value Pr(>|z|)  
(Intercept)              -0.1719     0.3393  -0.506   0.6125  
HousingSTD                0.6419     0.4431   1.448   0.1475  
StraindTg                -0.1959     0.4573  -0.428   0.6684  
StrainPS1dE9              0.6574     0.4649   1.414   0.1573  
StrainWT                  0.7967     0.3796   2.099   0.0358 *
HousingSTD:StraindTg     -1.3156     0.7183  -1.832   0.0670 .
HousingSTD:StrainPS1dE9  -0.6013     0.6479  -0.928   0.3534  
HousingSTD:StrainWT      -0.7342     0.5001  -1.468   0.1421  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 752.70  on 555  degrees of freedom
Residual deviance: 730.06  on 548  degrees of freedom
AIC: 746.06

Number of Fisher Scoring iterations: 4

exp(coef(ogreg.1725.acq.int))

            (Intercept)              HousingSTD               StraindTg 
              0.8421053               1.9000000               0.8221154 
           StrainPS1dE9                StrainWT    HousingSTD:StraindTg 
              1.9296875               2.2181604               0.2683179 
HousingSTD:StrainPS1dE9     HousingSTD:StrainWT 
              0.5481159               0.4798810 

impact of predictor “Strain”

pre.data.17.acq <- data.frame(Strain=c("WT", "dTg", "PS1dE9", "APPswe"))
pre.data.17.acq$prob <- predict(ogreg.1725.acq.add.1b, newdata = pre.data.17.acq, type = "response")
pre.data.17.acq

  Strain      prob
1     WT 0.6400000
2    dTg 0.3582090
3 PS1dE9 0.6233766
4 APPswe 0.5517241

impact of predictor “Housing”

pre.data.17.acq <- data.frame(Housing=c("STD","ENR"))
pre.data.17.acq$prob <- predict(ogreg.1725.acq.add.1a, newdata = pre.data.17.acq, type = "response")
pre.data.17.acq

  Housing      prob
1     STD 0.5971731
2     ENR 0.5824176

Age group 17-25 reversal Strain

ogistic.data.1725.rev=filter(ogistic.data.1725, `_Day`=='7'|`_Day`=='8'|`_Day`=='9'|`_Day`=='10')

fitting different logistic regression models with increasing complexity
simple model including housing only

ogreg.1725.rev.add.1a <- glm(strategy.class ~ Housing, family = binomial, data = ogistic.data.1725.rev)

simple model including Strain only

ogreg.1725.rev.add.1b <- glm(strategy.class ~ Strain, family = binomial, data = ogistic.data.1725.rev)

additive model including all factors

ogreg.1725.rev.add.2 <- glm(strategy.class ~ Housing + Strain, family = binomial, data = ogistic.data.1725.rev)

interaction model including all factors

ogreg.1725.rev.int <- glm(strategy.class ~ Housing * Strain, family = binomial, data = ogistic.data.1725.rev)

Model comparisons using the anova function

anova(ogreg.1725.rev.add.1b, ogreg.1725.rev.add.1a, test="Chisq")

Analysis of Deviance Table

Model 1: strategy.class ~ Strain
Model 2: strategy.class ~ Housing
  Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
1       376     319.30                          
2       378     357.43 -2  -38.128 5.254e-09 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model including Strain better than model including housing

anova(ogreg.1725.rev.add.2, ogreg.1725.rev.add.1b, test="Chisq")